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Finding the Fourth Proportional to 3,883.44, 5,817.72 and 3,270.96

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Solution

The fourth proportional to 3,883.44, 5,817.72 and 3,270.96 is: 4,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.44 : 5,817.72 = 3,270.96 : x
  2. Step 2: Convert to fraction form
    3,883.44/5,817.72 = 3,270.96/x
  3. Step 3: Cross multiply
    3,883.44x = 5,817.72 × 3,270.96
  4. Step 4: Simplify right side
    3,883.44x = 19,029,529.41
  5. Step 5: Solve for x
    x = 19,029,529.41/3,883.44
  6. Step 6: Final answer
    x = 4,900.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.